Atkin-Lehner |
2- 3+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
19908a |
Isogeny class |
Conductor |
19908 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
-136537664256 = -1 · 28 · 39 · 73 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 0 -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4752,127332] |
[a1,a2,a3,a4,a6] |
Generators |
[36:54:1] |
Generators of the group modulo torsion |
j |
-2355167232/27097 |
j-invariant |
L |
5.1813011975188 |
L(r)(E,1)/r! |
Ω |
1.0408565636103 |
Real period |
R |
0.82965341217736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79632k1 19908b1 |
Quadratic twists by: -4 -3 |